Mesh deformation on runtime using colliders [need help]

I've been dealing with the same problem for a few weeks and have decided to ask here for help.
Maybe someone can give me a good advice.^^

I would like to create deformation physics that allows me to push the verts inwards using a collision, much like a mining system or a sandbox with shovels or pickaxes.

I've tried to make scripts with verts, collision targets and so on but everytime I made something I got an error or it didn't work at all.

It would be really nice if somebody could help me even a good documentation for this topic could help.
Thanks to everyone.^^

cheers.